Mastering Calculus – The Power Rule For Easy Polynomial Function Derivatives

Power Rule:d/dx [x^n] = ___________________

nx^n-1

The power rule is a rule of differentiation in calculus that states that the derivative of a function of the form f(x) = x^n is given by:

d/dx [x^n] = n*x^(n-1)

Here, ‘d/dx’ denotes the derivative with respect to x. ‘n’ is any real number, and x is the variable. The power rule applies only to polynomial functions, where the variable ‘x’ is raised to a fixed power ‘n’. This rule is one of the fundamental rules of calculus and is widely used in finding the derivative of many functions. By applying this rule, we can find the derivative of any polynomial function quickly and easily.

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